Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.
Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom.
Sci Rep. 2016 Sep 9;6:32940. doi: 10.1038/srep32940.
We propose a non-linear, hybrid quantum-classical scheme for simulating non-equilibrium dynamics of strongly correlated fermions described by the Hubbard model in a Bethe lattice in the thermodynamic limit. Our scheme implements non-equilibrium dynamical mean field theory (DMFT) and uses a digital quantum simulator to solve a quantum impurity problem whose parameters are iterated to self-consistency via a classically computed feedback loop where quantum gate errors can be partly accounted for. We analyse the performance of the scheme in an example case.
我们提出了一种用于模拟强关联费米子在 Bethe 晶格中由 Hubbard 模型描述的非平衡动力学的非线性混合量子经典方案,该模型在热力学极限下。我们的方案实现了非平衡动力学平均场理论(DMFT),并使用数字量子模拟器来解决量子杂质问题,该问题的参数通过经典计算的反馈回路进行迭代以达到自洽,其中可以部分考虑量子门误差。我们在一个示例案例中分析了该方案的性能。